313463562048 has 1008 divisors, whose sum is σ = 1175152742400. Its totient is φ = 79374919680.

The previous prime is 313463561987. The next prime is 313463562091. The reversal of 313463562048 is 840265364313.

313463562048 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 635 + 6 + 2 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 313463561994 and 313463562012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2468216961 + ... + 2468217087.

Almost surely, 2^313463562048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313463562048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587576371200).

313463562048 is an abundant number, since it is smaller than the sum of its proper divisors (861689180352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313463562048 is a wasteful number, since it uses less digits than its factorization.

313463562048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 313463562048 in words is "three hundred thirteen billion, four hundred sixty-three million, five hundred sixty-two thousand, forty-eight".